摘要
The authors introduce the definition of block-wise m-dependent with respect to somepositive real sequence for random variables taking values in a separable Banach space,prove some general results on the strong convergence of blockwise m-dependent randomvariables,and in particular,give positive answers to Móricz conjectures([5])by asharper theorem.
The authors introduce the definition of block-wise m-dependent with respect to some positive real sequence for random variables taking values in a separable Banach space, prove some general results on the strong convergence of blockwise m-dependent random variables, and in particular, give positive answers to Moricz conjectures ([5]) by a sharper theorem.
基金
Projects supported by the Science Fund of the Chinese Academy of Science
